{"title":"mtl代数的素li -理想空间","authors":"Chunhui Liu, Luoshan Xu","doi":"10.12988/ija.2020.91259","DOIUrl":null,"url":null,"abstract":"In this paper, topological spaces based on prime LI -ideals and on maximal LI -ideals of an MTL-algebra are constructed. It is proved that the topological spaces constructed on LI -ideals are compact T0spaces and that the topological spaces constructed on maximal LI -ideals are compact T2-spaces. These give interactions between Non-Classical Mathematical Logic and General Topology. Mathematics Subject Classifications: 03G10; 54D40; 08A72","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"56 1","pages":"213-222"},"PeriodicalIF":0.5000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prime LI-ideal spaces of MTL-algebras\",\"authors\":\"Chunhui Liu, Luoshan Xu\",\"doi\":\"10.12988/ija.2020.91259\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, topological spaces based on prime LI -ideals and on maximal LI -ideals of an MTL-algebra are constructed. It is proved that the topological spaces constructed on LI -ideals are compact T0spaces and that the topological spaces constructed on maximal LI -ideals are compact T2-spaces. These give interactions between Non-Classical Mathematical Logic and General Topology. Mathematics Subject Classifications: 03G10; 54D40; 08A72\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":\"56 1\",\"pages\":\"213-222\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ija.2020.91259\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2020.91259","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, topological spaces based on prime LI -ideals and on maximal LI -ideals of an MTL-algebra are constructed. It is proved that the topological spaces constructed on LI -ideals are compact T0spaces and that the topological spaces constructed on maximal LI -ideals are compact T2-spaces. These give interactions between Non-Classical Mathematical Logic and General Topology. Mathematics Subject Classifications: 03G10; 54D40; 08A72
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The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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